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Finding the Fourth Proportional to 202,203.30, 278,997.30 and 116,172.81

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Solution

The fourth proportional to 202,203.30, 278,997.30 and 116,172.81 is: 160,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,203.30 : 278,997.30 = 116,172.81 : x
  2. Step 2: Convert to fraction form
    202,203.30/278,997.30 = 116,172.81/x
  3. Step 3: Cross multiply
    202,203.30x = 278,997.30 × 116,172.81
  4. Step 4: Simplify right side
    202,203.30x = 32,411,900,323.41
  5. Step 5: Solve for x
    x = 32,411,900,323.41/202,203.30
  6. Step 6: Final answer
    x = 160,293.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.